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We study a two-level system coupled to two quantized electromagnetic modes within the Jaynes-Cummings framework. While the single-mode model is exactly solvable due to its conserved excitation number, yielding finite-dimensional invariant…

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

The generalization of the Jaynes-Cummings (GJC) Model is proposed. In this model, the electromagnetic radiation is described by a Hamiltonian generalizing the harmonic oscillator to take into account some nonlinear effects which can occurs…

High Energy Physics - Theory · Physics 2009-10-31 M. Daoud , J. Douari

The interaction between atoms and a quantized radiation field is fundamentally important in quantum optics and quantum information science. Due to their unusual properties, Rydberg atoms are promising building blocks for two-qubit gates and…

Quantum Physics · Physics 2026-01-06 Francisco D. Santillan , Andreas Hanke

In this work we examine a nonlinear version of the Jaynes-Cummings model for two identical two-level atoms allowing for Ising-like and dipole-dipole interplays between them. The model is said to be nonlinear in the sense that it can…

Quantum Physics · Physics 2016-08-08 O. de los Santos-Sánchez , C. González-Gutiérrez , J. Récamier

We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently employed rotating-wave approximation (RWA) in the coupling between the two-level system and the resonator. For a detuning sufficiently larger than the…

Quantum Physics · Physics 2010-08-31 David Zueco , Georg M. Reuther , Sigmund Kohler , Peter Hänggi

We develop a theoretical framework to evaluate the energy spectrum, stationary states, and dielectric susceptibility of two Jaynes-Cummings systems coupled together by the overlap of their respective longitudinal field modes, and we solve…

Quantum Physics · Physics 2012-02-24 Peng Xue , Zbigniew Ficek , Barry C. Sanders

We investigate the conditions of entanglement for a system of two atoms and two photon modes in vacuum, using the Jaynes-Cummings model in the rotating-wave approximation. It is found, by generalizing the existing results, that the strength…

Quantum Physics · Physics 2016-06-27 Samina S. Masood , Allen Miller

We introduce a dynamical system that instead of exchanging a single photon as in the atomic system of the usual Jaynes-Cummings model (JCM), it exchanges instead a squeezed coherent photon. Accordingly, the creation and annihilation photon…

Quantum Physics · Physics 2022-12-26 Moorad Alexanian

The interaction of a two-level atom with a single-mode quantized field is one of the simplest models in quantum optics. Under the rotating wave approximation, it is known as the Jaynes-Cummings model and without it as the Rabi model.…

Many-body physics is traditionally concerned with systems of interacting massive particles. Recent studies of effective interactions between photons, induced in the circuit QED architecture by coupling the microwave field to superconducting…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 A. Nunnenkamp , Jens Koch , S. M. Girvin

Coupling $N$ identical emitters to the same field mode is well-established method to enhance light matter interaction. However, the resulting $\sqrt{N}$ boost of the coupling strength comes at the cost of a "linearized" (effectively…

Quantum Physics · Physics 2021-08-04 Tommaso Tufarelli , Daniel Friedrich , Heiko Groß , Joachim Hamm , Ortwin Hess , Bert Hecht

The quantum Rabi model describes the ultrastrong interaction of a two-level atom coupled to a single quantized bosonic mode. As compared to the Jaynes-Cummings model, in the Rabi model the absorption and emission processes do not need to…

Quantum Physics · Physics 2015-02-24 Boyan T. Torosov , Stefano Longhi , Giuseppe Della Valle

We investigate the thermodynamic behavior of open quantum systems through the Hamiltonian of Mean Force, focusing on two models: a two-qubit system interacting with a thermal bath and a Jaynes-Cummings Model without the rotating wave…

Quantum Physics · Physics 2025-09-03 Neha Pathania , Devvrat Tiwari , Subhashish Banerjee

We study in detail entanglement properties of the Jaynes-Cummings model assuming a two-level atom (qubit) interacting with the first $N$ levels of an electromagnetic field mode (qudit) in a cavity. In the Jaynes-Cummings model, the number…

Quantum Physics · Physics 2015-06-15 Nicolás Quesada , Anna Sanpera

We showed that in Lamb-Dicke regime and under rotating wave approximation, the dynamical behavior of two trapped ions interacting with a laser beam resonant to the first red side-band of center-of-mass mode can be described by…

Quantum Physics · Physics 2007-05-23 Hao-Sheng Zeng , Le-Man Kuang , Ke-Lin Gao

For multiphoton intensity-dependent Jaynes-Cummings model (JCM), which is described by two-level atom interacting with a radiation field, we prove that there is a relationship between the atomic inversion and the quadrature squeezing. We…

Quantum Physics · Physics 2015-05-14 Faisal A A El-Orany

A novel approach is proposed to analyze a rather vast counter-rotating Hamiltonian interaction in the context of cavity quantum electrodynamics. The method relies upon the supersymmetric mapping of the corresponding rotating interaction and…

Quantum Physics · Physics 2025-01-28 Ivan A. Bocanegra-Garay , L. Hernández Sánchez , H. M. Moya-Cessa

The interaction of an ensemble of $N$ two-level atoms with a single mode electromagnetic field is described by the Tavis-Cummings model. There, the collectively enhanced light-matter coupling strength is given by $g_N = \sqrt{N} \bar{g}_1$,…

Quantum Physics · Physics 2022-02-09 Martin Blaha , Aisling Johnson , Arno Rauschenbeutel , Jürgen Volz

Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of…

Quantum Physics · Physics 2016-09-08 S. Sivakumar
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